y-3(x-7)=5x

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Solution for y-3(x-7)=5x equation:


Simplifying
y + -3(x + -7) = 5x

Reorder the terms:
y + -3(-7 + x) = 5x
y + (-7 * -3 + x * -3) = 5x
y + (21 + -3x) = 5x

Reorder the terms:
21 + -3x + y = 5x

Solving
21 + -3x + y = 5x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-5x' to each side of the equation.
21 + -3x + -5x + y = 5x + -5x

Combine like terms: -3x + -5x = -8x
21 + -8x + y = 5x + -5x

Combine like terms: 5x + -5x = 0
21 + -8x + y = 0

Add '-21' to each side of the equation.
21 + -8x + -21 + y = 0 + -21

Reorder the terms:
21 + -21 + -8x + y = 0 + -21

Combine like terms: 21 + -21 = 0
0 + -8x + y = 0 + -21
-8x + y = 0 + -21

Combine like terms: 0 + -21 = -21
-8x + y = -21

Add '-1y' to each side of the equation.
-8x + y + -1y = -21 + -1y

Combine like terms: y + -1y = 0
-8x + 0 = -21 + -1y
-8x = -21 + -1y

Divide each side by '-8'.
x = 2.625 + 0.125y

Simplifying
x = 2.625 + 0.125y

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